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Finding the Third Proportional to 437,817 and 961,830

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Solution

The third proportional to 437,817 and 961,830 is: 2,113,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,817 : 961,830 = 961,830 : x
  2. Step 2: Convert to fraction form
    437,817/961,830 = 961,830/x
  3. Step 3: Cross multiply
    437,817x = 961,830 × 961,830
  4. Step 4: Simplify right side
    437,817x = 925,116,948,900
  5. Step 5: Solve for x
    x = 925,116,948,900/437,817
  6. Step 6: Final answer
    x = 2,113,021.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.